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Radda [10]
3 years ago
12

The value of x in this system of equations is 1. 3x + y = 9 y = –4x + 10

Mathematics
2 answers:
Sav [38]3 years ago
7 0

Answer:

<h2>              TRUE</h2>

Step-by-step explanation:

3x + y = 9    and  y = -4x + 10

so:

3x + (-4x + 10) = 9

3x - 4x + 10 = 9

 - x = - 1

   x = 1

stiks02 [169]3 years ago
4 0

Answer:

x=1 y=6

Step-by-step explanation:

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The price of a pair of shoes is 52$. This price is 15% lower than last week. What was the price of the shoes.
Leviafan [203]

Answer:

$61.17

Step-by-step explanation:

Okay so this is the closest answer I could get because 61.17*0.85=51.9945, which is really close to $52.So the answer is really close to $61.17.

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2 years ago
What is the unit rate for 1/2 a cup for 4 recipes
VMariaS [17]
1/8 cupe for 1 recipe
1/8 • 4 = 4/8 = 1/2

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1. Make sure your answers and work is SHOWN please and steps are in order.
JulijaS [17]

Been a while since I've done synthetic division.

1a. Let's assume that's supposed to be an equals sign

p(x) = 2x⁴ - 3x³ - 6x² + 5x + 6

possible rational roots have factors of 6 in the numerator and of 2 in the denominator.  We'll only worry about negative numerators.

Factors of six: 1,2,3,6, and we don't forget -1,-2,-3,-6

Factors of 2: 1,2

Possible rational roots:

(dividing by 1:) 1,-1,2,-2,3,-3,6,-6

(dividing by 2:) 1/2, -1/2  (2/2=1 is a duplicate, don't have to repeat it), 3/2, -3/2

Possible rational roots: 1,-1,2,-2,3,-3,6,-6, 1/2, -1/2, 3/2, -3/2

Synthetic division, trying x=1,

   1 | 2  -3  -6  5  6

             2  -1  -7  -2

       2    -1  -7  -2  4

Got a remainder of 4, so 1 isn't a root;

Trying x=-1  

-1 | 2  -3  -6  5  6

         -2   5  1  -6

     2  -5  -1  6  0

Zero remainder, found a root, x=-1.  This division says

(2x⁴ - 3x³ - 6x² + 5x + 6) / (x + 1) = 2x³ - 5x² - x + 6

Same set of rational roots on the cubic, we continue with x=2

2 | 2 -5 -1 6

         4 -2 -6

    2  -1 -3 0

Another zero remainder, x=2 is a root.  We're left with 2x² - x - 3 = 0, which factors as

(2x - 3)(x + 1) = 0

That's a second factor of x+1.  Our final factorization is

2x⁴ - 3x³ - 6x² + 5x + 6 = (x + 1)²(x-2)(2x - 3)

Fourth degree with a positive leading coefficient so goes to +infinity at both ends.  Double zero at x=-1, so it's tangent there, just touching the x axis, then down through x=3/2 and up through x=2.  

I'll leave the actually sketching and the other two polynomials to you -- that took some time.

4 0
3 years ago
Filomena applies the commutative property to the product. (7/15)⋅(−11)⋅(30) Which expression illustrates the commutative propert
dedylja [7]

  • The commutative property is a number property where the answer obtained is the same no matter the position of the numbers you are multiplying together.

  • Commutative property of multiplication is expressed as:

        a x b = b x a

        a x b x c = a x c x b = b x c x a

  • Note: " . " in the question also means "x" (multiplication)

  • Applying commutative property to the question:

(7/15)⋅(−11)⋅(30)

(7/15) ⋅ (−11) ⋅ (30) = (7/15) . (30) . (11)

The values interchanged are: 11 and 30. The result of the multiplication remains unchanged.

Option A  is the correct answer.

To learn more, visit the link:

brainly.com/question/24733555

8 0
2 years ago
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2.
FromTheMoon [43]

Answer:

The dimensions of the park is 18yd by 18yd

Step-by-step explanation:

A square-shaped park has an area of 324 yd.

A square is composed of equal length dimensions so if the area is 324 yd² ,the dimensions or length if one side of the square will be the root of 324 yd².

Length= √324

Length= 18 yd

Dimensions of the park is 18 yd by 18 yd

3 0
3 years ago
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